12935057168880 has 640 divisors, whose sum is σ = 55571643187200. Its totient is φ = 2686657766400.

The previous prime is 12935057168857. The next prime is 12935057168927. The reversal of 12935057168880 is 8886175053921.

12935057168880 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 50 + 571 + 6 + 8 + 8 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422271165 + ... + 422301795.

It is an arithmetic number, because the mean of its divisors is an integer number (86830692480).

Almost surely, 2^{12935057168880} is an apocalyptic number.

12935057168880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12935057168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785821593600).

12935057168880 is an abundant number, since it is smaller than the sum of its proper divisors (42636586018320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12935057168880 is a wasteful number, since it uses less digits than its factorization.

12935057168880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33210 (or 33198 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 12935057168880 in words is "twelve trillion, nine hundred thirty-five billion, fifty-seven million, one hundred sixty-eight thousand, eight hundred eighty".